did you ever ask him why he doesn’t wear it? Maybe he is just relying on other people who don’t wear it who are in turn relying on other people and no one actually knows why. Also maybe he has a reaon that only applies to him. R’ Aharon Lichtenstein does not wear techeiles but he tells his talmidim to wear it.
Unlike his rebbe, who apparently does not tell his talmidim not to.
What I’m saying is that if your rebbe knows every detail of the subject of techeiles and knows all the metzius then it makes sense to rely on him. If not…
Again, you are not just paskening, but claiming what makes sense [and by extension what does not make sense] — on your own — for someone else what the criterion are for having a halcahically justifiable basis to not wear techeiles. You do not necessarily need to go through the sugya to not have to wear it if you’re following your mesora. Or if you’re following R’ Chaim. Or R’ Elyashiv. (It might depend on what the mesoras svara not to wear it is.) And just because there are poskim who hold you do does not make it binding on all kllal yisrael. It makes far more sense for him to follow his rebbe than some anonymous person in the CR.